Dissipative Systems Analysis and Control.. Theory and Applications

This book deals with the analysis and feedback control of dissipative dynamical systems. It constitutes an advanced introduction to the topic, an introduction that is aimed at readers interested in the applications of dissipative systems theory within systems, control, and robotics. It presents the reader with a thorough treatment of the background to dissipative systems theory. It examines linear and nonlinear systems, providing comprehensive examples of these in each chapter. Some infinite-dimensional and nonsmooth examples are also included. Throughout the book the emphasis is placed on the application of dissipative dynamical systems towards the design of stable feedback control laws. The theory is consistently illustrated by physical examples, (Lagrangian and Hamiltonian systems are thoroughly covered, as are adaptive controllers). The book shows how the dissipative properties of a system can be used in the design of stable feedback controllers. These theoretical developments are backed up by experimental results. It includes chapters on: • Positive Real Systems • The Kalman-Yakubovich-Popov Lemma • Dissipative Systems • Passivity-Based Control • Adaptive Control